Download Box and Whisker Plots

Box and Whisker Plots
Name ________________________
Standard: PS (Probability and Statistics) 1.1 – Know various forms of display for data sets,
including box-and-whisker plot; use the forms to display a single set of data.
PS 1.3 – Understand the meaning of, and be able to compute, the minimum, the lower quartile,
the median, the upper quartile, and the maximum of a data set.
Box-and-Whisker Plot: an easy way to graph data on a number line using a five number
summary.
Whisker
Box
Whisker
| | | | | | | | | | | | | | | | | | | | | | | | |
 
least
value
lower
quartile

median

upper
quartile

greatest
value
Median: The MEDIAN is the middle number when there are an ODD number of data
items written IN ORDER.
1, 3, 6, 11, 15, 19, 23, 24, 35, 46, 56
19 is the middle number and is therefore the median
Note: For an EVEN number of data items, the median is the MEAN (average) of the two
middle numbers.
3, 6, 11, 15, 19, 23, 24, 35
15 and 19 are the middle numbers
15 + 19 = 34
34 ÷ 2 = 17
17 is the median
For questions #1-3
For questions #4-6
Number of mp3 players sold per month at
Woolworth’s.
The box-and-whisker plot below
represents the daily high temperatures at a
beach in April.
30
40
50
60
70
Daily High Temperatures


 


1. According to the box-and-whisker plot
above, what is the upper quartile of mp3
players sold at Woolworth’s in a month?
a)
b)
c)
d)
44
36
68
62
2. What is the median number of mp3
players sold at Woolworth’s?
a)
b)
c)
d)
44
68
58
36
3. What is the lower quartile of mp3
players sold at Woolworth’s?
a)
b)
c)
d)
62
68
44
36
60 0 F















70 0 F

80 0 F

90 0 F
100 0 F
4. What
was
daily

 the median

 high
temperature?
a) 68 0 F
b) 72 0 F
c) 86 0 F
d) 92 0 F
5. What temperature represents the upper
quartile?
a) 68 0 F
b) 72 0 F
c) 86 0 F
d) 92 0 F
6. What temperature represents the lower
quartile?
a) 68 0 F
b) 72 0 F
c) 86 0 F
d) 92 0 F
7. What is the median of the following
data set?
34, 49, 29, 24, 94, 36, 90, 36
a)
b)
c)
d)
34
36
49
94
For questions #9 & 10
Each student’s score on the final exam in
Mr. Twain’s class is listed below.
58, 72, 74, 92, 84, 40, 74, 81, 76, 83
9. What was the upper quartile score on
Mr. Twain’s final exam?
a)
b)
c)
d)
72
76
81
83
10. What was the lower quartile score on
Mr. Twain’s final exam?
a)
b)
c)
d)
58
72
74
81
8. What is the lower quartile of the
numbers 4, 6, 7, 8, 10, 12, 20?
a)
b)
c)
d)
4
6
7
8
Answers:
1. d
2. c
3. c
4. b
5. c
6. a
7. b
8. b
9. d
10. b